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Xu, Y.* ; Tischenko, O. ; Hoeschen, C.

Fast implementation of the image reconstruction algorithm OPED.

Proc. SPIE 7258:72585F (2009)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
OPED is a reconstruction algorithm for Radon data based on orthogonal polynomial expansion on the disk. The algorithm involves a sum of N terms, which is determined by the number of view angles in the data. Evaluating on a rectangular grid of M×M pixels, the algorithm can be implemented with roughly O(N3) evaluations, if we assume M [approximate] N, and the constant is rather large. The new implementation uses a particular polar grid, so that the evaluation operation is reduced to 2N3 + O(N2 logN), a reduction of the evaluation time by a factor of more than 20 times. Linear interpolation on triangle is used to reduce our particular polar grid to the rectangular grid. Numerical experiments are presented to demonstrate the results.
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Publication type Article: Journal article
Document type Scientific Article
Editors Samei, E.* ; Hsieh, J.*
ISSN (print) / ISBN 0277-786X
e-ISSN 1996-756X
Journal Proceedings of SPIE
Quellenangaben Volume: 7258, Issue: , Pages: , Article Number: 72585F Supplement: ,
Series Proceedings of SPIE
Publisher SPIE
Publishing Place Bellingham, WA
Reviewing status Peer reviewed
Institute(s) Institute of Radiation Protection (ISS)